The graph that you generated is a polynomial (i.e. the quadratic equation: ax2+bx+c=0) graph that follows the form:

 

Δd=v1Δt+(½)aΔt2

 

The dependent (y) variable in your Excel/Google Sheets graph equation is the displacement (Δd) and the independent (x) variable is the time interval (Δt). Based on this information, what would be the:

1. A) initial velocity of the cart when the SparkVue software started recording data?
2. B) acceleration of the cart?; 
3. C) displacement of the cart when the SparkVue software started recording data?

 

 

A cart is given an initial velocity of 5.0 m/s and experiences aconstant acceleration of 2.0 m/s². What is the magnitudeof the cart's displacement during the first 6.0 seconds of itsmotion?

An object moves with constant acceleration 4.00 m/s2 and
over a time interval reaches a final velocity of 12.0 m/s. (a)If
its initial velocity is 6.00 m/s, what is its displacementduring
the time interval? (b) What is the distance it travels during
this interval? (c) If its initial velocity is 26.00 m/s, what isits
displacement during the time interval? (d) What is the total
distance it travels during the interval in part (c) ?

An object moves with constant acceleration 3.25 m/s2 and over atime interval reaches a final velocity of 13.4 m/s.
(a) If its initial velocity is 6.7 m/s, what is its displacementduring the time interval?
(b) What is the distance it travels during this interval?
(c) If its initial velocity is
-6.7m/s, what is its displacement during the time interval?
(d) What is the total distance it travels during the interval inpart (c)?